(a)[2]
Determine the acceleration of $P$ when $t=2$.
(b)[5]
Calculate the total distance covered by $P$ in the first $3$ seconds of its motion.
(c)[2]
Check whether $P$ returns to $O$.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle $P$ leaves point $O$ and then travels in a straight line. Its velocity $v\text{ m s}^{-1}$ at time $t\text{ s}$ after leaving $O$ is given by $v=\frac{1}{3}(2t-3)(t-4)$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$v=\frac13(2t^2-11t+12)\Rightarrow \frac{dv}{dt}=\frac13(4t-11)$” …
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